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Finding the Fourth Proportional to 14,094.02, 19,449.96 and 7,720.48

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Solution

The fourth proportional to 14,094.02, 19,449.96 and 7,720.48 is: 10,654.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,094.02 : 19,449.96 = 7,720.48 : x
  2. Step 2: Convert to fraction form
    14,094.02/19,449.96 = 7,720.48/x
  3. Step 3: Cross multiply
    14,094.02x = 19,449.96 × 7,720.48
  4. Step 4: Simplify right side
    14,094.02x = 150,163,022.54
  5. Step 5: Solve for x
    x = 150,163,022.54/14,094.02
  6. Step 6: Final answer
    x = 10,654.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.